Base | Representation |
---|---|
bin | 11101101101000010011… |
… | …100011101100110011011 |
3 | 21020010202102111100220000 |
4 | 131231002130131212123 |
5 | 231420411400120011 |
6 | 4201420411104043 |
7 | 300321303422352 |
oct | 35550234354633 |
9 | 7203672440800 |
10 | 2041224223131 |
11 | 71775094a885 |
12 | 28b729a42023 |
13 | 11a64313c802 |
14 | 70b1d894999 |
15 | 3816c1d7356 |
hex | 1db4271d99b |
2041224223131 has 40 divisors (see below), whose sum is σ = 3214044049920. Its totient is φ = 1287458404848.
The previous prime is 2041224223109. The next prime is 2041224223189. The reversal of 2041224223131 is 1313224221402.
2041224223131 is a `hidden beast` number, since 2 + 0 + 412 + 24 + 223 + 1 + 3 + 1 = 666.
It is not a de Polignac number, because 2041224223131 - 227 = 2041090005403 is a prime.
It is a super-2 number, since 2×20412242231312 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 2041224223095 and 2041224223104.
It is not an unprimeable number, because it can be changed into a prime (2041224223231) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 250926 + ... + 2036028.
It is an arithmetic number, because the mean of its divisors is an integer number (80351101248).
Almost surely, 22041224223131 is an apocalyptic number.
2041224223131 is a deficient number, since it is larger than the sum of its proper divisors (1172819826789).
2041224223131 is a wasteful number, since it uses less digits than its factorization.
2041224223131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1785877 (or 1785868 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 2041224223131 its reverse (1313224221402), we get a palindrome (3354448444533).
The spelling of 2041224223131 in words is "two trillion, forty-one billion, two hundred twenty-four million, two hundred twenty-three thousand, one hundred thirty-one".
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